Gradient Estimation for Multicomponent Maintenance Systems with Age-Replacement Policy

Bernd Heidergott () and Taoying Farenhorst-Yuan ()
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Bernd Heidergott: Department of Econometrics and Operations Research and Tinbergen Institute, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands
Taoying Farenhorst-Yuan: Department of Econometrics and Operations Research, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands

Operations Research, 2010, vol. 58, issue 3, 706-718

Abstract: We consider multicomponent maintenance systems with an F -failure group age-replacement policy: it keeps failed components idling until F components are failed and then replaces all failed components together with the nonfailed components whose age has passed the critical threshold age (theta) n for components of type n . With each maintenance action, costs are associated. We derive various unbiased gradient estimators based on the measure-valued differentiation approach for the gradient of the average cost. Each estimator has its own domain of applicability. We also compare the performance of our gradient estimators when applied to stochastic optimization with other general gradient-free methods.

Keywords: maintenance; simulation; gradient estimation; measure-valued differentiation; optimization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:58:y:2010:i:3:p:706-718

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